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Finding the Fourth Proportional to 31,163.37, 42,999.66 and 17,733.83

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Solution

The fourth proportional to 31,163.37, 42,999.66 and 17,733.83 is: 24,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.37 : 42,999.66 = 17,733.83 : x
  2. Step 2: Convert to fraction form
    31,163.37/42,999.66 = 17,733.83/x
  3. Step 3: Cross multiply
    31,163.37x = 42,999.66 × 17,733.83
  4. Step 4: Simplify right side
    31,163.37x = 762,548,445.50
  5. Step 5: Solve for x
    x = 762,548,445.50/31,163.37
  6. Step 6: Final answer
    x = 24,469.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.